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Finding the Third Proportional to 901,956 and 1,427,148

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Solution

The third proportional to 901,956 and 1,427,148 is: 2,258,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,956 : 1,427,148 = 1,427,148 : x
  2. Step 2: Convert to fraction form
    901,956/1,427,148 = 1,427,148/x
  3. Step 3: Cross multiply
    901,956x = 1,427,148 × 1,427,148
  4. Step 4: Simplify right side
    901,956x = 2,036,751,413,904
  5. Step 5: Solve for x
    x = 2,036,751,413,904/901,956
  6. Step 6: Final answer
    x = 2,258,149.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.